Applications of uniform distribution theory to the Riemann zeta-function

In: Tatra Mountains Mathematical Publications, vol. 64, no. 3

Selin Selen Özbek - Jörn Steuding

Detaily:

Rok, strany: 2015, 67 - 74

Kľúčové slová:

Riemann zeta-function, uniform distribution

O článku:

We give two applications of uniform distribution theory to the Riemann zeta-function. We show that the values of the argument of $ζ({1\over 2}+iP(n))$ are uniformly distributed modulo ${π \over 2}$, where $P(n)$ denotes the values of a polynomial with real coefficients evaluated at the positive integers. Moreover, we study the distribution of $\argζ'\bl({1\over 2}+iγ_n\br)$ modulo $π$, where $γ_n$ is the $n$th ordinate of a zeta zero in the upper half-plane (in ascending order).

Ako citovať:

ISO 690:

Özbek, S., Steuding, J. 2015. Applications of uniform distribution theory to the Riemann zeta-function. In Tatra Mountains Mathematical Publications, vol. 64, no.3, pp. 67-74. 1210-3195.

APA:

Özbek, S., Steuding, J. (2015). Applications of uniform distribution theory to the Riemann zeta-function. Tatra Mountains Mathematical Publications, 64(3), 67-74. 1210-3195.